Find the modulus of the complex number. -9

Q: 5) Find the fourth root of-4-4i.

A: To find the fourth root of the below complex number

Q: Determine the argument and the modulus of the given complex (-2-4i)(5i) number: (3+8i)

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Q: The complex cube roots of 63 +6 i.

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Q: 4. Find the three complex cube roots of 8.

A: Consider the given number 8,

Q: Find the modulus and the principal value of the argument of the following powers of complex number:…

A: Explanation of the answer is as follows

Q: Find the modulus of the complex number. -5- i

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Q: Find the modulus, argument and polar form of the complex number: 1 + i.

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Q: Find the modulus of each complex number. 2 – 2v3i

A: We have to find the modulus of the complex number…

Q: 13. Use the exponential form of a complex number to write a + ib. ++) in the form

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Q: Write the complex number in trigonome begn by sketching the argument the graph to help find 8.…

A: Given complex number is  z=-5-53i The general form of complex number is z=x+iy where x is real part…

Q: Find the four roots of ( 3 + i4 )

A: We know that , Complex number is of the form , z = x + iy. Also , Polar form of complex number is…

Q: Find all the complex roots of (8 - 5/)176

A: We will find out the required solution.

Q: Find the Modulus of the following complex numbers: (a) 3 (b) (i + 1)(2 – i) (c) 2 – 3i

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Q: M = Find formulas for the entries of M", where n is a positive integer (Your formulas should not…

A: We have the given matrix :                               M=-3-44-3                To determine :…

Q: QI\ Find the four forth roots of - 49.

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Q: Find the modulus of the given complex number. 7. 10 + 6i

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Q: Consider the complex number z = 10250°. What is the smallest positive integer n such that z" is a…

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Q: Find the four roots of ( 3 + 14 )

A: To find the four roots of the complex number.

Q: Q/ Find the six sixth roots of 64.

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Q: Find the modulus of the given complex number. 8. -2 - i

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Q: Find the four roots of ( 3+14)

A: The given problem is related with complex analysis. We have to find the four roots of 3 + i4. Note…

Q: M = Find formulas for the entries of M", where n is a positive integer. (Your formulas should not…

A: M=48-84To Find: Formula for the entries of Mn, where n is positive integer.

Q: 5. Find all the complex cube roots of -8-8i

A: Cube roots of complex numbers

Q: A complex figure is any figure that has 5 or more sides. O True O False

A: We have to evaluate the statement, ''A complex figure is any figure that has 5 or more sides.'' is…

Q: (c) Use de Moivre's formula to write down a formula for all o words, give a formula for the complex…

A: answer is in next step

Q: 9 -8 -7 -6-5 6789 5b Hence state the radius.

A: For the given circle

Q: lentify the real and imaginary parts of 4i. he real part is and the imaginary part is rite a complex…

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Q: 4. The complex cube roots of - 8 -8

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Q: (a) Find the modulus and argument of the complex number z =1+ v3i (b) Consider the complex number…

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Q: The complex number z = 9 – 12i. The modulus |z| is: (give your answer to the nearest integer).

A: z=9-12i |z|=(9)2+(-12)2|z|=81+144|z|=225

Q: complex numbers and express the re 1+81 2+61 1+81 2+61

A: We have to find a+bi form of given data

Q: Evaluate the cube root of z = 27cis  (240 degrees)

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Q: The expression 3 + 4i is a complex number. Compute the modulus of complex number. a. 4 b. 5 c. 6…

A: Given complex number is 3+4i. We compute the modulus of this complex number.

Q: (b) Find the conjugate and modulus of the following complex number Z = /5+ i6

A: Given complex number is z=5-i6 Since, conjugate of a complex number a+ib is a-ib Hence, conjugate of…

Q: Identify the real and imaginary parts of – 7. The real part is and the imaginary part is Write a…

A: If the complex number is in the form z=a+ib, then the real part of z is a and the imaginary part of…

Q: 13. Use the exponential form of a complex number to write a + ib. (+)* +i in the form

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Q: 13 (b) Write the complex number (-+0 * in the simplest form

A: here we will find simplest form of complex no.

Q: a. Find the modulus and argument of the complex number here, x = last digit of your ID number.

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Q: Find the modulus, Izl, and argument, 8, of the complex number. -1+i One charaes 4.6

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Q: Find the possible root of (i)^(1/2)

A: We have to find the possible root of i12. Then we get, i12=0+i12=cos π2+i sin π212

Q: 5. Find the 45th term of the pentagonal numbers {1, 4, 12, ...}. Show how you get your answer here:

A: We know, The nth pentagonal number is given by Pn = n(3n-1)/2   Here P1 = 1(3*1-1)/2 = 1 P2 =…

Q: 13. Give a justification for the statement If a is a complex number then there is another complex…

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Q: [1E q22] Question is attached, Thanks ?

A: To prove the equality of the two angles , under the given conditions

Q: For Exercise, use the binomial theorem to find the value of the complex number raised to the given…

A: We will use

Q: The complex number modulus z = 12 - 5i is:

A: Given,         The complex number is z = 12 - 5i .

Q: QI Find the four forth roots of-49.

A:

Q: 3) Find the complex conjugate and the modulus of the number z: a) := 12 – 5i b) 2= -5i c) 2=-1+2/2 i…

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Q: 21 A complex number a + bi has modulus What is the value of the modulus of its conjugate?

A: Please refer the attached image for complete solution. THANKYOU !

Q: In dividing two complex numbers, what should be done in order not to go through the long process? A…

A: Let us have two complex numbers  z1=x+iyz2=x'+iy' Now, complex numbers can be written in polar form…